Acompany makes greeting cards and their research shows that that price and demand are related linearly: p=mx +b. they know that for every additional card they wish to sell they need to drop the price by $0.05. they also know that in order to sell 300 cards they need to set the price at $7. find the linear equation relating p price to demand. preview p =

p = -0.05m + 22

Step-by-step explanation:

As given in question,

The relation between the price and demand can be given by,

where is p is price and x is demand.

Since in order to sell 300 cards the price has to be fix at $7.

So,

  7 = 300m+b           (1)

And for every additional card they need to drop the price by $0.05.

So,

7-0.05 = 301m+b

=>6.95 = 301m + b           (2)

Subtracting equation (1) from equation (2), we will have

6.95 - 7 = 301m - 300m

=>m = -0.05

By putting the value of m in equation (1), we get

7 = 300.(-0.05)+b

=> b = 22

So, the linear equation that show the relation between price and demand is given by

p = -0.05m + 22

i think it might be a but you might want a second opinion